Papers › ℤ₂×ℤ₂ Equivariant Quantum Neural Networks: Benchmarking against Classical Neural Networks

ℤ₂×ℤ₂ Equivariant Quantum Neural Networks: Benchmarking against Classical Neural Networks

30 Nov 2023arXiv:2311.18744archive 2025-07-28

Zhongtian Dong, Marçal Comajoan Cara, Gopal Ramesh Dahale, Roy T. Forestano, Sergei Gleyzer, Daniel Justice, Kyoungchul Kong, Tom Magorsch, Konstantin T. Matchev, Katia Matcheva, Eyup B. Unlu

This paper presents a comprehensive comparative analysis of the performance of Equivariant Quantum Neural Networks (EQNN) and Quantum Neural Networks (QNN), juxtaposed against their classical counterparts: Equivariant Neural Networks (ENN) and Deep Neural Networks (DNN). We evaluate the performance of each network with two toy examples for a binary classification task, focusing on model complexity (measured by the number of parameters) and the size of the training data set. Our results show that the ℤ₂×ℤ₂ EQNN and the QNN provide superior performance for smaller parameter sets and modest training data samples.

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